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Lattice Boltzmann Simulation of Shear-Thinning Fluids

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Abstract

It is shown how shear-thinning flow can be simulated without the need for numerical differentiation by following a lattice Boltzmann approach. The basic idea of is to combine the Cross model of viscosity with a 3D multiple relaxation time lattice Boltzmann method and to extract the required velocity derivatives from intrinsic quantities of the lattice Boltzmann scheme. Computational results are presented for a simple benchmark and for the simulation of liquid composite moulding.

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  1. Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Gottlieb-Daimler-Straße, Geb. 49, D-67663, Kaiserslautern, Germany

    Dirk Kehrwald

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  1. Dirk Kehrwald
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Correspondence to Dirk Kehrwald.

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Kehrwald, D. Lattice Boltzmann Simulation of Shear-Thinning Fluids. J Stat Phys 121, 223–237 (2005). https://doi.org/10.1007/s10955-005-5963-z

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  • DOI: https://doi.org/10.1007/s10955-005-5963-z

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